Bounded Input Bounded Predefined Control Bounded Output

The paper is an attempt to generalize a methodology [1; 93] and [2, 3; 95], which is similar to the bounded-input bounded-output (BIBO) method currently widely used [4-9] for the system stability studies. The presented in [1, 2] methodology allows decomposition of input space into bounded subspaces and defining for each subspace its bounding surface. It also defines a corresponding predefined control, which maps any point of a bounded input into a desired bounded output subspace. This methodology was improved [3] by providing a mechanism for the fast defining a bounded surface. This paper combines BIBO with bounded-control [10-14] and presents enhanced " bounded-input bounded-predefined-control bounded-output " (BIBPCBO) approach, which provides adaptability feature to the control and allows transferring of a controlled system along a suboptimal trajectory.